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Rewrite the fraction $\frac{4x-5}{\left(x-1\right)\left(x^2+3\right)^2}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{4x-5}{\left(x-1\right)\left(x^2+3\right)^2}=\frac{A}{x-1}+\frac{Bx+C}{\left(x^2+3\right)^2}+\frac{Dx+F}{x^2+3}$
Learn how to solve problems step by step online. Find the integral int((4x-5)/((x-1)(x^2+3)^2))dx. Rewrite the fraction \frac{4x-5}{\left(x-1\right)\left(x^2+3\right)^2} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F. The first step is to multiply both sides of the equation from the previous step by \left(x-1\right)\left(x^2+3\right)^2. Multiply both sides of the equality by 1 to simplify the fractions. Multiplying polynomials.